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Solve the following equations and check your results.
$ 3 m=5 m-\frac{8}{5} $.
Given:
\( 3 m=5 m-\frac{8}{5} \)
To do:
We have to solve the given equation and check the result.
Solution:
$3 m=5 m-\frac{8}{5}$
$5m-3m=\frac{8}{5}$
$2m=\frac{8}{5}$
$m=\frac{8}{2\times5}$
$m=\frac{8}{10}$
$m=\frac{4}{5}$
Substituting the value of $m$ in LHS, we get,
$3m=3(\frac{4}{5})$
$=\frac{3\times4}{5}$
$=\frac{12}{5}$
Substituting the value of $m$ in RHS, we get,
$5m-\frac{8}{5}=5(\frac{4}{5})-\frac{8}{5}$
$=\frac{20-8}{5}$
$=\frac{12}{5}$
LHS $=$ RHS
The value of $m$ is $\frac{4}{5}$.
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